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Finding the Fourth Proportional to 27,523.41, 41,278.73 and 13,469.31

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Solution

The fourth proportional to 27,523.41, 41,278.73 and 13,469.31 is: 20,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.41 : 41,278.73 = 13,469.31 : x
  2. Step 2: Convert to fraction form
    27,523.41/41,278.73 = 13,469.31/x
  3. Step 3: Cross multiply
    27,523.41x = 41,278.73 × 13,469.31
  4. Step 4: Simplify right side
    27,523.41x = 555,996,010.78
  5. Step 5: Solve for x
    x = 555,996,010.78/27,523.41
  6. Step 6: Final answer
    x = 20,200.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.